`1/8` of the length of a log is damaged. A man cuts off `3/4` of the second part. If the log is 16m long. find the length of sound log left.

Evaluate log_16 8

From a rope 15m long,4(1)/(3)m is cut off and (3)/(5) of the remaining is cut off again.Find the length of the remaining part of the rope.

Habib uncle has a furniture shop of next to Sarjeena's house. In his shop, there is a log of length 12frac(3)(5) m. He, cuts off 4frac(1)(5) m. of the log and keeps it apart. He divided the remaining portion of log into 3 equal parts, with 3/7 parts of one of three parts, he decided to make small wooden things. Let us calculate, what lenght of log he will use to make those small things. Firstly, let us find out, what lenght of log left when 4ꟷ1/5 m is out off.

If 3 log sqrtm + 2 log ""^(3) sqrtn = 1. find the value of m^(9) n^(4) .

If lot 7- log 2 + log 16 - 2 log3 - log "" (7)/(45)= 1 + log k, find the value of k.

The lengths of two sides of a triangle are log_(2)4 and log_(4)2. If the length of the third side is log_(3)x, then a possible value of x can be

If log 4= 0.602 and log 27 = 1.431 , find : log 8

Find x, if : 2 + log x = log 45 - log 2 + log 16 - 2 log 3.

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8 a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_2 6 (log)_3 8> log_3 6>(log)_4 6 (log)_3 8>(log)_2 6> log_3 6>(log)_4 6 (log)_2 8<(log)_4 6